Szegő type asymptotics for the reproducing kernel in spaces of full-plane weighted polynomials

Yacin Ameur, Joakim Cronvall

In this work we find and discuss an asymptotic formula, as $n\to \infty$, for the reproducing kernel $K_n(z,w)$ in spaces of full-plane weighted polynomials $W(z)=P(z)\cdot e^{-\fra…